All High School Math Resources
Example Questions
Example Question #2 : Understanding Range
There are girls and boys running a race. What is the probability that only boys will finish in the top three places?
Probability is a fraction between and . The numerator is the total number of ways to get what you want, or a subset of the sample space. The denominator is the total ways, or complete sample space.
The number of ways only boys would finsih in the top three places:
The number of ways all contestants can finish the race:
So the probability of only boys finishing in the top three places is given by the fraction when simplified.
Example Question #1 : Understanding Mean, Median, And Mode
is the ____________ of the following dataset below.
mode
mean
range
median
median
Reorder the numerals in the set, from least to greatest.
The number in the middle is the median.
The most frequent numeral is the mode.
The mean is the sum of the numerals divided by the number of data points.
The mean is 15.
The range is the difference between the maximum and the minimum.
The range is 8.
Example Question #2 : Understanding Mean, Median, And Mode
For the following data set:
Which is the smallest?
Range
Mode
Mean
Median
None of the answers
Mean
Put the data in order from smallest to largest and then calculate each stastic: mean, mode, median, range
or
Mode is the most often repeated number or
Median is the number in the middle or
Mean is the sum of the data divided by the number of data points or
Example Question #12 : Basic Statistics
Example Question #13 : Basic Statistics
Find the median of the following number series:
3, 6, 27, 19, 8, 11, 30, 42, 7, 39
15
19.2
30
19
11
15
The first step to finding the median is always to put the numbers in the proper order:
3, 6, 7, 8, 11, 19, 27, 30, 39, 42
When we have an even amount of numbers, we find the average (or mean) of the middle two to get the median:
11 + 19 = 30/2 = 15
Example Question #1 : Understanding Mean, Median, And Mode
With a standard deck of playing cards, what is the probability of picking one red card followed by one black card, without replacement?
In a standard deck of playing cards we have:
So the probability of picking the first card red is .
Then the probability of picking the second card black is because this is without replacement.
They are independent events so the probabilities get multiplied together to give .
Example Question #21 : Basic Statistics
Which statement is true concerning the following data set:
First, put the data in order, smallest to largest:
Note, the mode is the number most often repeated in the data set and the median is the middle number.
So is the only true statement.
Example Question #2 : Understanding Mean, Median, And Mode
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What was the mean temperature for the week?
The mean is calculated by adding all the values in a group, then dividing the sum by the total number in the group.
Example Question #22 : Basic Statistics
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the mode of the temperatures?
The mode is the number that appears most frequently in a series of numbers. First, organize the numbers in order from least to greatest. Then, identify the value that is repeated most frequently.
Example Question #3 : Understanding Mean, Median, And Mode
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the median temperature?
The median is determined by ordering the values in the group from least to greatest and identifying the value directly in the middle. For instance, if five numbers are ordered from least to greatest, the third is the median.